GENERAL MANPOWER – HYPER EXPONENTIAL MACHINE SYSTEM WITH MARKOVIAN PRODUCTION, GENERAL SALES AND GENERAL RECRUITMENT

Abstract

In this paper, two manpower planning models with different recruitment patterns are studied. The machine attended by the manpower system has Hyper-exponential life time distribution. The manpower machine system fails when both of them are in failed state, when either manpower or machine alone is in failed state, the failed one is hired till the other also fails. Two models are treated. In model 1, when the system fails, the vacancies caused by employees’ departures are filled up one by one. In model 2, recruitments are done one by one or in bulk pattern depending on the system operation time is within or exceeding a threshold. Using Laplace transform, the operation time, recruitment time of the employees, repair time of the machine and sales time of the products are studied. Their means and the covariance of the operation time and recruitment time are presented with numerical examples.